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Matematicheskoe modelirovanie, 2010, Volume 22, Number 4, Pages 32–56 (Mi mm2957)  
This article is cited in 3 scientific papers (total in 3 papers)

The filtration consolidation problem taking into account the salt and heat transfer and skeleton creep of the three-phase soil

A. P. Vlasyuk, P. N. Martinyuk

National University of Water Management and Nature Resources Application, Rovno, Ukraine
Full-text PDF (476 kB) Citations (3)
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Abstract: The mathematical model of the three-phase soil layer filtration consolidation problem taking into account the salt and heat transfer has been formulated. Skeleton creep and momentary deformations have been taken into account in one. The numerical solution of the corresponding boundary-value problem has been found by the finite element method and radial basis functions method. Influence of heat and mass transfer on fluid pressures has been confirmed by numerical experiment.
Keywords: filtration consolidation problem, finite element method, radial basis functions method.
Received: 16.03.2009
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. P. Vlasyuk, P. N. Martinyuk, “The filtration consolidation problem taking into account the salt and heat transfer and skeleton creep of the three-phase soil”, Mat. Model., 22:4 (2010), 32–56
Citation in format AMSBIB
\Bibitem{VlaMar10}
\by A.~P.~Vlasyuk, P.~N.~Martinyuk
\paper The filtration consolidation problem taking into account the salt and heat transfer and skeleton creep of the three-phase soil
\jour Mat. Model.
\yr 2010
\vol 22
\issue 4
\pages 32--56
\mathnet{http://mi.mathnet.ru/mm2957}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2731163}
\zmath{https://zbmath.org/?q=an:05765114}
Linking options:
  • https://www.mathnet.ru/eng/mm2957
  • https://www.mathnet.ru/eng/mm/v22/i4/p32
    • This publication is cited in the following 3 articles:
    1. P. N. Martynyuk, “Reshenie kraevykh zadach dlya sistem kvazilineinykh parabolicheskikh uravnenii setochnymi i bezsetochnymi chislennymi metodami”, Sib. elektron. matem. izv., 11 (2014), 476–493  mathnet
    2. O. R. Michuta, A. P. Vlasyuk, P. N. Martynyuk, “Modelirovanie vliyaniya khimicheskoi suffozii na filtratsionnuyu konsolidatsiyu zasolennykh gruntov v neizotermicheskikh usloviyakh”, Matem. modelirovanie, 25:2 (2013), 3–18  mathnet
    3. A. P. Vlasyuk, P. N. Martynyuk, “Kontaktnyi razmyv i filtratsionnaya konsolidatsiya gruntov v usloviyakh teplo-soleperenosa”, Matem. modelirovanie, 24:11 (2012), 97–112  mathnet  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    Full-text PDF :454
    References:95
    First page:14
     
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